AKOR Seminar:On global Eikonal equations

14. November 2024, 17:00 until 19:00

AKOR Seminar:On global Eikonal equations

Seminar

Le Minh Tri, VADOR, TU Wien

Eikonal equations in metric spaces have strong connections with the local slope operator (or the De Giorgi slope). In this talk, we explore an analogous model based on the global slope operator, expressed as $G[u] = \ell$. In strong contrast with the classical theory, the global slope operator relies neither on the local properties of the functions nor on the structure of the space, and therefore new insights are developed in order to analyze the above equation. Under mild assumptions on the metric space $X$ and the given data $\ell$, we primarily discuss: (a) the existence and uniqueness of (pointwise) solutions; (b) a viscosity perspective and (c) a new integration formula based on the global slope of the given function.

Calendar entry

Event location

Sem R DB gelb 04
1040 Wien

Organiser

VADOR

Public

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Events

AKOR Seminar:On global Eikonal equations